Abstract
The validity of the variational principle for scattering problems is examined in the case of ionization of atomic hydrogen by electron impact. The effective charge seen by the scattered electron is determined mathematically in a rigorous way excluding any empirical assumptions. It is shown that the elaborated approach gives effective charge values that are reasonable and have clear physical meaning.
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Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 83, Modern Algebra and Its Applications, 2012.
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Kereselidze, T., Machavariani, Z.S. Application of variational principle to scattering problems. J Math Sci 195, 473–480 (2013). https://doi.org/10.1007/s10958-013-1592-2
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DOI: https://doi.org/10.1007/s10958-013-1592-2